Banking Online

Would like to start banking online, but have always been paranoid, even with https.   Have done multiple scans using various programs starting with NIS and Power Eraser.

Also did secondary scans with eset, superantispyware, malwarebytes, rkill, tds killer, adw cleaner and MS online scanner.  All have comeback clean.

Should I feel confident my financial info would be secure, and would you feel the same?    Maybe I spend to much time reading about security, dunno.

Thanks if answered.....Fred